Optimal control and approximate controllability for second-order integro-differential equations with state-dependent delay and non-instantaneous impulses
This article concerns the optimal control and the approximate controllability for second order integro-differential equation with state-dependent delay and non-instantaneous impulses. We first establish the existence of mild solution for the control system. Then, based on these results, we invest...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2025-05-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2025/54/abstr.html |
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| Summary: | This article concerns the optimal control and the approximate controllability
for second order integro-differential equation with state-dependent delay
and non-instantaneous impulses. We first
establish the existence of mild solution for the control system.
Then, based on these results, we investigate the approximate controllability
and show the existence of optimal controls for Bolza problems by using the
resolvent family of linear operators, M\"{o}nch's fixed point theorem, and
the resolvent condition. Finally, we give an example to illustrate the
effectiveness of the results. |
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| ISSN: | 1072-6691 |